12401792 has 64 divisors (see below), whose sum is σ = 27631800. Its totient is φ = 5505024.

The previous prime is 12401791. The next prime is 12401819. The reversal of 12401792 is 29710421.

It can be written as a sum of positive squares in 4 ways, for example, as 11669056 + 732736 = 3416^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12401792² = 307608889622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12401791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48128 + ... + 48384.

Almost surely, 2^12401792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815900).

12401792 is an abundant number, since it is smaller than the sum of its proper divisors (15230008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12401792 is a wasteful number, since it uses less digits than its factorization.

12401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 12401792 is about 3521.6178100413. The cubic root of 12401792 is about 231.4700547639.

The spelling of 12401792 in words is "twelve million, four hundred one thousand, seven hundred ninety-two".